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103245122351600 = 24521395399343939
BaseRepresentation
bin10111011110011010100000…
…110101111011000111110000
3111112120010201002112110010122
4113132122200311323013300
5102013032002310222400
61003330053204545412
730514133244045665
oct2736324065730760
9445503632473118
10103245122351600
112a996012a77719
12b6b571a6b2268
13457bc86344538
141b6d13a7c7a6c
15be09989e3685
hex5de6a0d7b1f0

103245122351600 has 120 divisors (see below), whose sum is σ = 249877913040000. Its totient is φ = 40993227313920.

The previous prime is 103245122351597. The next prime is 103245122351617. The reversal of 103245122351600 is 6153221542301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300012431 + ... + 300356369.

It is an arithmetic number, because the mean of its divisors is an integer number (2082315942000).

Almost surely, 2103245122351600 is an apocalyptic number.

103245122351600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103245122351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124938956520000).

103245122351600 is an abundant number, since it is smaller than the sum of its proper divisors (146632790688400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103245122351600 is a wasteful number, since it uses less digits than its factorization.

103245122351600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349495 (or 349484 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 103245122351600 its reverse (6153221542301), we get a palindrome (109398343893901).

The spelling of 103245122351600 in words is "one hundred three trillion, two hundred forty-five billion, one hundred twenty-two million, three hundred fifty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 139 200 278 400 556 695 1112 1390 2224 2780 3475 5399 5560 6950 10798 11120 13900 21596 26995 27800 43192 53990 55600 86384 107980 134975 215960 269950 343939 431920 539900 687878 750461 1079800 1375756 1500922 1719695 2159600 2751512 3001844 3439390 3752305 5503024 6003688 6878780 7504610 8598475 12007376 13757560 15009220 17196950 18761525 27515120 30018440 34393900 37523050 47807521 60036880 68787800 75046100 95615042 137575600 150092200 191230084 239037605 300184400 382460168 478075210 764920336 956150420 1195188025 1856926661 1912300840 2390376050 3713853322 3824601680 4780752100 7427706644 9284633305 9561504200 14855413288 18569266610 19123008400 29710826576 37138533220 46423166525 74277066440 92846333050 148554132880 185692666100 258112805879 371385332200 516225611758 742770664400 1032451223516 1290564029395 2064902447032 2581128058790 4129804894064 5162256117580 6452820146975 10324512235160 12905640293950 20649024470320 25811280587900 51622561175800 103245122351600